Question

simplify (3y^2 +5y -4) - (8y -y^2 -4)​

Answer 1

Question:-

To simplify $\tt{({3y}^{2}+5y-4)-(8y-{y}^{2}-4)}$.

(((Remember!

In case of Simplification, use the rule BODMAS.

• B = Bracket
• O = of
• D = Division
• M = Multiplication
• A = Addition
• S = Subtraction

We have to simplify the expression by the rule. At first Division, Multiplication, Addition and then Subtraction. Don't forget to do the work inside the bracket at first.)))

Answer:

$\tt{({3y}^{2}+5y-4)-(8y-{y}^{2}-4)}$

(The Expression given in the Question)

$\tt{={3y}^{2}+5y-4-8y+{y}^{2}+4}$

(Here, we have open the first bracket. In the second bracket, you may be confused that why plus is changed into Minus and why Minus is changed into Plus. Actually, we have multipled '-' with the numbers.)

$\tt{=({3y}^{2}+{y}^{2})+(5y-8y)+(4-4)}$

(Now, we have arranged the like terms. They will be combined now.)

$\tt{={4y}^{2}+(-3y)+0}$

(Combined. Now, some parts are left which needs to be demolished.)

$\boxed{\tt\green{={4y}^{2}-3y}}$

(Therefore, after demolishing, we have got the suitable answer of the question.)

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REQUIRED ANSWER:-

Therefore, after Simplification of the expression $\bf{({3y}^{2}+5y-4)-(8y-{y}^{2}-4)}$, the answer is $\boxed{\large\bf\green{{4y}^{2}-3y}}$.